Integrated math 3
The Mathematics 3 course, often taught in the 11th grade, covers Polynomials; Logarithms; Transformations of functions; an extension of the worlds of Equations and Modeling; Trigonometric functions; Rational functions; and an extension of the world of Statistics and Probability. Khan Academy's Mathematics 3 course is built to deliver a comprehensive, illuminating, engaging, and Common Core aligned experience!
13 units224 videos21 hours
Learn it live with a class on Puzzicle · Teachers: use it with your class
Unit 1: Polynomial arithmetic
Intro to polynomials
Average rate of change of polynomials
Adding and subtracting polynomials
Multiplying monomials by polynomials
Multiplying binomials by polynomials
Unit 2: Polynomial factorization
Factoring monomials
Introduction to factoring higher degree polynomials ✓ Check-ins5:53
Introduction to factoring higher degree monomials ✓ Check-ins4:43
Which monomial factorization is correct? ✓ Check-ins2:06
Worked example: finding the missing monomial factor ✓ Check-ins3:19
Worked example: finding missing monomial side in area model ✓ Check-ins2:09
Greatest common factor
Taking common factors
Factoring higher degree polynomials
Factoring using structure
Polynomial identities
Unit 3: Polynomial division
Dividing polynomials by x
Dividing quadratics by linear factors
Dividing polynomials by linear factors
Polynomial remainder theorem
Intro to the Polynomial Remainder Theorem ✓ Check-ins6:43
Remainder theorem: finding remainder from equation ✓ Check-ins3:32
Remainder theorem examples ✓ Check-ins5:32
Remainder theorem: checking factors ✓ Check-ins3:26
Remainder theorem: finding coefficients ✓ Check-ins3:39
Proof of the Polynomial Remainder Theorem ✓ Check-ins5:42
Unit 4: Polynomial graphs
Zeros of polynomials
Zeros of polynomials introduction ✓ Check-ins5:09
Zeros of polynomials: plotting zeros ✓ Check-ins3:19
Zeros of polynomials: matching equation to zeros ✓ Check-ins3:51
Zeros of polynomials: matching equation to graph ✓ Check-ins3:01
Zeros of polynomials (with factoring): grouping ✓ Check-ins4:55
Zeros of polynomials (with factoring): common factor ✓ Check-ins3:32
Positive and negative intervals of polynomials
End behavior of polynomials
Unit 5: Logarithms
Introduction to logarithms
The constant e and the natural logarithm
Properties of logarithms
Intro to logarithm properties (1 of 2) ✓ Check-ins9:16
Intro to logarithm properties (2 of 2) ✓ Check-ins10:04
Using the logarithmic product rule ✓ Check-ins5:04
Using the logarithmic power rule ✓ Check-ins4:49
Using the properties of logarithms: multiple steps ✓ Check-ins2:10
Proof of the logarithm product rule ✓ Check-ins7:08
Proof of the logarithm quotient and power rules ✓ Check-ins7:59
Change of base formula for logarithms
Solving exponential equations with logarithms
Unit 6: Transformations of functions
Shifting functions
Reflecting functions
Symmetry of functions
Scaling functions
Putting it all together
Graphs of square and cube root functions
Graphs of exponential functions
Unit 7: Equations
Rational equations
Square-root equations
Extraneous solutions
Cube-root equations
Quadratic systems
Unit 8: Trigonometry
Law of sines
Law of cosines
Solving general triangles
Unit circle introduction
Radians
The Pythagorean identity
Trigonometric values of special angles
Graphs of sin(x), cos(x), and tan(x)
Amplitude, midline, & period
Transforming sinusoidal graphs
Graphing sinusoidal functions
Unit 9: Modeling
Modeling with function combination
Interpreting features of functions
Manipulating formulas
Modeling with two variables
Modeling with multiple variables
Unit 10: Study Design
Samples and surveys
Observational studies and experiments
Unit 11: Binomial probability
Unit 12: Normal distributions
Unit 13: Rational functions
Cancelling common factors
Reducing rational expressions to lowest terms ✓ Check-ins15:22
Simplifying rational expressions: common monomial factors ✓ Check-ins6:59
Simplifying rational expressions: common binomial factors ✓ Check-ins4:11
Simplifying rational expressions: opposite common binomial factors ✓ Check-ins3:53
Simplifying rational expressions: grouping ✓ Check-ins6:42
Simplifying rational expressions: higher degree terms ✓ Check-ins5:53
Simplifying rational expressions: two variables ✓ Check-ins6:11
End behavior of rational functions
Discontinuities of rational functions
Graphs of rational functions
Graphing rational functions according to asymptotes ✓ Check-ins11:22
Graphs of rational functions: y-intercept ✓ Check-ins3:08
Graphs of rational functions: horizontal asymptote ✓ Check-ins3:16
Graphs of rational functions: vertical asymptotes ✓ Check-ins5:33
Graphs of rational functions: zeros ✓ Check-ins7:47
Graphs of rational functions (old example) ✓ Check-ins6:07
Graphing rational functions 1 ✓ Check-ins ✎ Fixed a slip11:04
Graphing rational functions 2 ✓ Check-ins ✎ Fixed a slip8:20
Graphing rational functions 3 ✓ Check-ins ✎ Fixed a slip21:06
Graphing rational functions 4 ✓ Check-ins ✎ Fixed a slip11:31
Modeling with rational functions
Analyzing structure word problem: pet store (1 of 2) ✓ Check-ins5:54
Analyzing structure word problem: pet store (2 of 2) ✓ Check-ins2:44
Rational equations word problem: combined rates ✓ Check-ins5:26
Rational equations word problem: combined rates (example 2) ✓ Check-ins6:00
Rational equations word problem: eliminating solutions ✓ Check-ins7:59
Reasoning about unknown variables ✓ Check-ins6:07
Reasoning about unknown variables: divisibility ✓ Check-ins3:38
Structure in rational expression ✓ Check-ins4:41
Multiplying & dividing rational expressions
Multiplying & dividing rational expressions: monomials ✓ Check-ins5:56
Multiplying rational expressions ✓ Check-ins4:52
Dividing rational expressions ✓ Check-ins ✎ Fixed a slip4:10
Multiplying rational expressions: multiple variables ✓ Check-ins3:38
Dividing rational expressions: unknown expression ✓ Check-ins6:02
Adding subtracting rational expressions intro
Adding subtracting rational expressions (factored)
Adding subtracting rational expressions (not factored)
Learn this with a class
With a class on Puzzicle this course runs as a timetable of live study parties: your batch watches together and answers the check-ins, sometimes with a teacher leading.
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